The Asymptotic Behavior of the Mean Sojourn Time for a Random Walk Above a Receding Curvilinear Boundary


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Abstract

We study the asymptotic behavior of the mean sojourn time for a random walk above a receding curved boundary in the case where the jump distribution satisfies the Cramèr condition.

About the authors

I. S. Borisov

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

Author for correspondence.
Email: sibam@math.nsc.ru
Russian Federation, 4, Akad. Koptyuga pr, Novosibirsk, 630090; 1, Pirogova St, Novosibirsk, 630090

E. I. Shefer

Novosibirsk State University

Email: sibam@math.nsc.ru
Russian Federation, 1, Pirogova St, Novosibirsk, 630090

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